Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sarmple of 45 woren who are 20 years of age or older today results in a mean height of 64.9 inches a) State the appropriate null and alternative hypotheses to assess whether women are taller today. b) Suppose the P-value for this test is 0.04. Explain what this value represents. c) Write a conclusion for this hypothesis test assuming an a=0.05 level of significance. a) State the appropriate null and alternative hypotheses to assess whether women are taller today. O A. H: H= 63.7 in. versus H,: u< 63.7 in. O B. H=63.7 in. versus H,: u> 63.7 in. O C. H: H= 63.7 in. versus H,: uz 63.7 in. O D. H =64.9 in. versus H,: pz 64.9 in. OE. H: H= 64.9 in. versus H,: u< 64.9 in. OF. H: =64.9 in. versus H,: u> 64.9 in. b) Suppose the P-value for this test is 0.04. Explain what this value represents. O A. There is a 0.04 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.9 inches. O B. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean height is 63.7 inches. O C. There is a 0.04 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean height is 63.7 inches. O D. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mean height is 63.7 inches. c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance.

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Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 wornen who are 20 years of age or older today results in a mean height of 64.9 inches.
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
(b) Suppose the P-value for this test is 0.04. Explain what this value represents.
(c) Write a conclusion for this hypothesis test assuming an a=0.05 level of significance.
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
O A. H,: µ= 63.7 in. versus H, u<63.7 in.
O B. H, p=63.7 in. versus H,: p> 63.7 in.
O C. H,: µ= 63.7 in. versus H,: µ 63.7 in.
O D. H, µ=64.9 in. versus H,: p 64.9 in.
O E. H,: µ= 64.9 in. versus H,: p< 64.9 in.
O F. H, p= 64.9 in. versus H, p> 64.9 in.
(b) Suppose the P-value for this test is 0.04. Explain what this value represents.
O A. There is a 0.04 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.9 inches.
O B. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean height is 63.7 inches.
O C. There is a 0.04 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean height is 63.7 inches.
O D. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mean height is 63.7 inches.
(c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance.
Click to select your answer.
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Transcribed Image Text:Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 wornen who are 20 years of age or older today results in a mean height of 64.9 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. (b) Suppose the P-value for this test is 0.04. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a=0.05 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. O A. H,: µ= 63.7 in. versus H, u<63.7 in. O B. H, p=63.7 in. versus H,: p> 63.7 in. O C. H,: µ= 63.7 in. versus H,: µ 63.7 in. O D. H, µ=64.9 in. versus H,: p 64.9 in. O E. H,: µ= 64.9 in. versus H,: p< 64.9 in. O F. H, p= 64.9 in. versus H, p> 64.9 in. (b) Suppose the P-value for this test is 0.04. Explain what this value represents. O A. There is a 0.04 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.9 inches. O B. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean height is 63.7 inches. O C. There is a 0.04 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean height is 63.7 inches. O D. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mean height is 63.7 inches. (c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance. Click to select your answer. US 1 C amen hp esc # & 3 4. 5 80
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